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Q.

The perimeter of an isosceles triangle is equal to 14cm, the lateral side is to the base in the ratio 5:4. The area of the triangle is[[1]].


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Detailed Solution

Given:
Question ImageLateral side of the triangle: Question ImageBase side of the triangle: Question ImagePerimeter Question ImageThe perimeter of the triangle is equal to the sum of all the three sides of the triangle.
Thus, Question ImageSimplify, we get,
Question ImageQuestion ImageQuestion ImageSemi-perimeter is half of the perimeter:
Question ImageQuestion ImageQuestion ImageNow, using the Heron’s formula:
Question ImageQuestion ImageSimplify the above equation:
Question ImageQuestion ImageHence, the area of the triangle is: Question Image 
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